This won't be too helpful, but I bought a Honda PCX 125 this spring and haven't ridden my KLR since. (I only rode the Valkyrie three times.) But I was laid up the entire summer after emergency eye surgery. So I spent the riding season riding a rocking chair in front of my computer
If at all possible, I'd keep the KLR for winter and ride the Burgman all summer. Otherwise go with the Burgman. The auto transmission spoils you fast.